Question

In the accompanying diagram, m/R = m2C and E is the midpoint of RC.

What congruence statement proves ATER AVEC ?

Answer 1

• D) ASA

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We are given that:

1) m∠R = m∠C, therefore the two angles are congruent:

• ∠R ≅ ∠C

2) E is the midpoint of RC, therefore, as midpoint divides the segment in two equal parts:

• ER ≅ EC

3) As per diagram, TER and VEC are vertical angles, therefore they are congruent:

• ∠TER ≅ ∠VEC

As we have two angles and included side being congruent, this is Angle Side Angle or ASA congruence.

The matching choice is D.